I have a question:
2 glass containers have the same amount of a particular acid. In one container, drop a fully compressed spring retained in the compressed state by some means. In another container, drop a similar spring, in its free form. The acid in the containers start to dissolve the...
Thanks to AKG and luflurf. I have enough material to try out some alternatives. Sorry the details in my requirement were not complete. The coefficients of the polynomials and the entries in the matrix are all binary, and also -1 = +1. The special property I mentioned was 'primitivity' of the...
I am using the matrix to generate more polynomials with same special properties as the source polynomial from which the matrix was derived. The matrix should also have its characteristic polynomial same as the source polynomial. My requirement has polynomials with binary coefficients, and the...
Can anyone suggest a method to convert a univariate polynomial of degree n into a n x n matrix? For example, the polynomial 1 + x^2 + x^3 + x^4 + x^5 converts to [0 0 0 0 1; 1 0 0 0 0; 0 1 0 0 1; 0 0 1 0 1; 0 0 0 1 1], and the polynomial 1 + x^2 + x^5 to [0 1 1 1 1; 0 0 1 1 1; 1 1 1 0 0; 0 0 0 0...